Ukrainian Mathematical Journal

, Volume 20, Issue 5, pp 590–596 | Cite as

The construction of asymptotic, improved in the mean, quast-periodic solutions for essentially nonlinear systems

  • P. M. Senik


Nonlinear System 
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Literature cited

  1. 1.
    N. N. Bogolyubov, On quasi-periodic solutions in problems of nonlinear mechanics [in Russian], Proceedings of the First Mathematical Summer School, Vol. 1, Izd-vo Naukova Dumka, Kiev (1964).Google Scholar
  2. 2.
    O. B. Lykova, On quasi-periodic solutions of systems that are close to a canonical one, Ukrainsk. Matem. Zh.,16, No. 6 (1964).Google Scholar
  3. 3.
    Yu. A. Mitropol'skii and A. M. Samoilenko, On the structure of trajectories on toroidal manifolds, Dopovidi Akad. Nauk Ukrain. RSR, No. 8 (1964).Google Scholar
  4. 4.
    Yu. A. Mitropol'skii and P. M. Senik, On asymptotic representations that are improved in the mean for essentially nonlinear systems, Ukrainsk. Matem. Zh.,19, No. 5 (1967).Google Scholar
  5. 5.
    P. M. Senik, Averaging in systems with an essential nonlinearity, Mathematical Physics [in Russian], No. 4, Naukova Dumka, Kiev (1968).Google Scholar

Copyright information

© Consultants Bureau 1969

Authors and Affiliations

  • P. M. Senik
    • 1
  1. 1.L'vov Polytechnical InstituteUSSR

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